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Finding the Fourth Proportional to 317.89, 438.69 and 193.54

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Solution

The fourth proportional to 317.89, 438.69 and 193.54 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.89 : 438.69 = 193.54 : x
  2. Step 2: Convert to fraction form
    317.89/438.69 = 193.54/x
  3. Step 3: Cross multiply
    317.89x = 438.69 × 193.54
  4. Step 4: Simplify right side
    317.89x = 84,904.06
  5. Step 5: Solve for x
    x = 84,904.06/317.89
  6. Step 6: Final answer
    x = 267.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.